Value of `cos^(2)(51^(0)-theta)+cos^(2)(39^(0) +theta)` is

If tan^(4)theta +tan^(2) theta = 2 , then the value of cos^(4)theta +cos^(2)theta is-

int_(0)^(1) (sin theta (cos^(2) theta- cos^(2) pi//5) (cos^(2) theta - cos^(2) 2 pi //5))/(sin 5 theta)d theta

The value of (cos(90^0-theta)sec(90^0-theta)tantheta)/(cos e c(90^0-theta)sin(90^0-theta)cot(90^0-theta))+(tan(90^0-theta))/(cottheta)"i s" 1 (b) -1 (c) 2 (d) -2

Prove that cos theta + cos (120^(@) + theta) + cos ( 120^(@)-theta) =0. Hence deduce that cos ^(3) theta + cos ^(3) ( 120^(@) + theta ) + cos^3( 120^(@)-theta) = 3/4 cos 3 theta.

If sintheta+sin^2theta=1 ,find the value of cos^(12)theta+3cos^(10)theta+3cos^8theta+cos^6theta+2cos^4theta+2cos^2theta-2

The value of cos^2(pi/6+theta)-sin^2\ \ (pi/6-theta) is a, 1/2cos2theta b. 0 c. -1/2cos2theta d. -cot35^0

Find the value of cos theta. cos 2theta. cos 2^(2)theta . cos 2^(3)theta"……." cos 2^(n-1) theta is

2(sin^(6) theta + cos^(6)theta) - 3(sin^(4)theta + cos^(4)theta)+ 1 = 0

The maximum value of the expression sin theta cos^(2)theta(AA theta in [0, pi]) is

The value of f(k)=int_(0)^(pi//2) log (sin ^(2) theta +k^(2) cos^(2) theta) d theta is equal to